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Over [174]
3 years ago
13

42 = -7 (z - 3) z = ?

Mathematics
2 answers:
liubo4ka [24]3 years ago
3 0

Answer:

The answer to your question is z = -3

Step-by-step explanation:

Expand                 42 = -7(z - 3)

                             42 = -7z + 21

Simplify                 7z = -42 + 21

                             7z = -21

Clear z                    z = \frac{-21}{7}

                              z = -3                                                            

solniwko [45]3 years ago
3 0
42=-7z+21
42-21=-7z
21/-7=-7z/-7
-3=z
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Two cable ferries start moving towards each other from shores A and B. When the pass each other for the first time the distance
Fiesta28 [93]
As there is no information about the speed of the ferries, we can infer that they move at the same speed.
Therefore, we can say that they cross each other at the same point both on their way and on their way back.
Since the "meeting point" is on a streight line in between the two shores, 100 meters from shore B and 50 meters from shore A, the distance between shore A and B will be 100 + 50 = 150 meters.

Hence, the distance between shores A and B is 150 meters.
6 0
3 years ago
At a sale, dresses were sold for $192 each. This price was 96% of the dress's original price. How much did a dress originally co
blondinia [14]

Answer:

$199.68

Step-by-step explanation:

You would have to find 4% of 192.

That is 7.68.

192+7.68=199.68.

5 0
3 years ago
..vertex: (4, -1)<br> f(3) = -6
s344n2d4d5 [400]

Answer:

\huge\boxed{f(x)=-5(x-4)^2-1=-5x^2+40x-81}

Step-by-step explanation:

The vertex form of an equation of a parabola:

f(x)=a(x-h)^2+k

(h;\ k) - vertex

We have

vertex (4;\ -1)\to h=4;\ k=-1

f(3)=-6

Therefore we have:

f(x)=a(x-4)^2+(-1)=a(x-4)^2-1

Substitute x=3 and f(3)=-6

a(3-4)^2-1=-6\qquad|\text{add 1 to both sides}\\\\a(-1)^2=-6+1\\\\a(1)=-5\\\\a=-5

Finally:

f(x)=-5(x-4)^2-1=-5(x^2-2(x)(4)+4^2)-1\\\\=-5(x^2-8x+16)-1=-5x^2+(-5)(-8x)+(-5)(16)-1\\\\=-5x^2+40x-80-1=-5x^2+40x-81

4 0
3 years ago
A glass vase is shaped like a cylinder and has a radius of 2.5 inches. The vase holds 170 cubic inches of water. How tall is the
nataly862011 [7]
Formula for volume of cylinder:  pi*r^2*h
170 = 3.14*2.5^2*h
170=19,625*h
170/19.625 = h; h = 8.66 inches



5 0
3 years ago
Read 2 more answers
Q/R=8/d Solve for d <br> please and thank you!
tensa zangetsu [6.8K]

The value of d in equation Q/R=8/d is 8R/Q.

Given an equation Q/R=8/d.

We are required to find the value of d in the given equation.

Equation is basically the relationship between two or more variables that are expressed in equal to form. The values that we enter is known as domain and the values that we get is known as range. It can be linear equation, quadratic equation, cubic equation.

The equation is :Q/R=8/d

We have to take d in right side of equal to sign and Q,R to the left side of right side of equal to sign.

d=8R/Q

Hence the value of d in equation Q/R=8/d is 8R/Q.

Learn more about equation at brainly.com/question/2972832

#SPJ9

3 0
1 year ago
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